This really isn't that great of a test at all. One can count the number of truly nationally recognized 'Hawks from previous years on their fingers. All other players, many who were really good ones, are known mostly to the team's fans and no one else.
In the early years, players not named Largent or Zorn were unheard of outside the Pacific Northwest. Guys like Blades and Skansi and Michael Jackson were unknowns because the team was a relative unknown. Even in 2005, most of the rest of the nation knew Hasselbeck, Alexander, and Jones, and if they worked in law enforcement, maybe Jerramy Stevens. Quick, without checking elsewhere on the Internet, name wide receivers playing for the Browns, Jaguars, or the Bills. Hell, go ahead and name A player from those teams. Hard to do. Outside of Arizona and a very select, well studied group of divisional fans, the Cardinals may as well be known as the Arizona Larry Fitzgeralds.
We're in some rarefied air here, folks. This current team has probably as many nationally-known names on it as the Seahawks did in every year of our entire history combined. Wilson, Lynch, Sherman, Thomas, without a doubt. Golden Tate for the Green Bay game last year alone. The rest of the Legion of Boom is pretty well known too; in fact, they're probably approaching the notoriety of only a few such defenses, such as the Steel Curtain or the Monsters of the Midway. Hell, Percy Harvin is a fairly well recognized name and he hasn't even seen the field yet. If he comes out and performs to expectations the next few years, he'll be a household name as a Seahawk. And this is on a team renowned for not relying solely on a superstar player at any one position to win games for them. This is the ultimate 53-man team.
For the record though, my contribution is "Every Single Defensive Player on the 1992 Seattle Seahawks Not Named Cortez Kennedy."